f (x) = x³ + 2a? 9 (x) = 3x2 – 1 %3D For aboue given fune ions find the foltowing : (b) f-9 ca) f+g (e) fg

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A: According to our Guidelines we cam provide solution of only 1st question please ask/upload remaining…

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A: use substitution method for solving the integral

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Q: 2. Using the variation of parameters, find the particular solution of (D² + 1)y = sec x

A: By the method of Variation of perameters

Q: VX-2 H Evaluate dy/sx if O y=1X+1)“ Szx-1 at x=\ V(X+3)3 atメ=1 at X-3

A: Reupload other questions according to bartleby guidelines

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A: For all computation n=10.

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Q: V Solve using variaton of parameters or recuction of order (D. 3D+ 2)y = (1+e*)

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Q: Solve using variation of parameters or reduction of order (D² – 3D + 2)y = (1+e²x)¯2

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Q: Q2: Find the integration by applying substitution method: 7 dX (X - 1)VX- 2x - 48

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Q: B. Integrate the following using the basic rules of integration and substitution. 1. fx2 +5x-x-3 dx…

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Q: 2. Find the General Solutioh oG (əx -3y-2) dx-Cx-2y) dy =0

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Q: 2. b. Then, use the linearization to approximate the number V8.7. Be sure to show work, and clearly…

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Q: pproximate using differentation:  e0.99 Please show step by step solution.

A: This question can be solved using the concept of approximation using derivatives.

Q: (b) Solve N +e*f + (1+x*)y = 0, %3D near x = 0, if y(0) = 1; y/(0) = 0. %3D

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Q: II. Solve xdy + (3x – 2y)dx = 0 in two ways. Write your solution on the space provided. 1. First…

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Q: ransformation, the solution y(t) of the followim y'-3y = 1, with y(0) = 2 %3D %3D (s) such that

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Q: x³dx =², then = f(x) is Using integration by parts to solve and letting u = V4-x2

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Q: equakan ,yy= xe Solve the ditferen fal with initial condition yl0) =-2

A: Given : yy' = xe-y2y0 = -2

Q: (b) Solve the equation 2 = dy %3D -x+/x²+yz y(-3) = 4 for -3 <x57 taking the dx y step-length h =…

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Q: 17. Using Runge-Kutta method of fourth order, solve dy y2-x2 dx y2 + x2 | with y(0) = 1, at x = 02…

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Q: Variation of Parameters у" — 2у' + у —— e* -

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A: Given: The given partial differential equation 3∂u∂t+t2∂u∂x=0 with  u(x,0)=f(x),0&lt;x&lt;1.

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Q: Q1:-Using Euler method to find y (2) using h-D0.5 for y' = 9 **, y(0) 1

A: # we are entitled to solve one question at a time, please resubmit the other questions if  you wish…

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Q: Q3. Choose the correct answer 1- x- In x2 + k Is the result of integrating the function? A. 1-2х А.…

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A: To solve the integral using the Trapezoidal rule, use the formula ∫ydx=h2[y0+yn+2(y1+y2+…+yn-1)]…

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Q: Apply Variation of Parameters to find the general solution. e* у"- 2у'+ у 3 1+x?

A: Given y''-2y'+y=ex1+x2